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Finding the Fourth Proportional to 276.12, 414.08 and 269.54

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Solution

The fourth proportional to 276.12, 414.08 and 269.54 is: 404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.12 : 414.08 = 269.54 : x
  2. Step 2: Convert to fraction form
    276.12/414.08 = 269.54/x
  3. Step 3: Cross multiply
    276.12x = 414.08 × 269.54
  4. Step 4: Simplify right side
    276.12x = 111,611.12
  5. Step 5: Solve for x
    x = 111,611.12/276.12
  6. Step 6: Final answer
    x = 404.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.